Robust finite-time stability of nonlinear systems involving hybrid impulses with application to sliding-mode control-Reference-Cited by-同舟云学术

Robust finite-time stability of nonlinear systems involving hybrid impulses with application to sliding-mode control

Published:2022 Issue:2 Volume:20 Page:4198-4218
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Meng Jian¹²,Zhang Bin¹,Wei Tengda²,He Xinyi²,Li Xiaodi²

Affiliation:

1. State Grid Intelligence Technology Co., Ltd, Jinan 250000, China

2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China

Abstract

<abstract><p>This paper is concerned with the robust finite-time stability and stabilization of impulsive systems subject to hybrid disturbances that consists of external disturbances and hybrid impulses with time-varying jump maps. First, the global finite-time stability and local finite-time stability of a scalar impulsive system are ensured by the analysis of cumulative effect of hybrid impulses. Then, asymptotic stabilization and finite-time stabilization of second-order system subject to hybrid disturbances are achieved by linear sliding-mode control and non-singular terminal sliding-mode control. It shows that the stable systems under control are robust to external disturbances and hybrid impulses with non-destabilizing cumulative effect. If the hybrid impulses have destabilizing cumulative effect, the systems are also capable of absorbing the hybrid impulsive disturbances by the designed sliding-mode control strategies. Finally, the effectiveness of theoretical results is verified by numerical simulation and the tracking control of linear motor.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference37 articles.

1. V. Utkin, Variable structure systems with sliding modes, IEEE Trans. Autom. Control, 22 (1977), 212–222. https://doi.org/10.1109/TAC.1977.1101446

2. Y. Feng, X. Yu, Z. Man, Non-singular terminal sliding mode control of rigid manipulators, Automatica, 38 (2002), 2159–2167. https://doi.org/10.1016/S0005-1098(02)00147-4

3. B. Jiang, H. R. Karimi, Y. Kao, C. Gao, Takagi–Sugeno model-based sliding mode observer design for finite-time synthesis of semi-markovian jump systems, IEEE Trans. Syst. Man, Cybern., Syst., 49 (2019), 1505–1515.

4. B. A. Martínez-Treviño, A. El Aroudi, A. Cid-Pastor, G. Garcia, L. Martinez-Salamero, Synthesis of constant power loads using switching converters under sliding-mode control, IEEE Trans. Circuits Syst. I Reg. Papers, 68 (2021), 524–535.

5. J. Xu, Y. Niu, C.-C. Lim, P. Shi, Memory output-feedback integral sliding mode control for furuta pendulum systems, IEEE Trans. Circuits Syst. I Reg. Papers, 67 (2020), 2042–2052. https://doi.org/10.1109/TCSI.2020.2970090

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